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Finding the Third Proportional to 72,706.50 and 106,662.75

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Solution

The third proportional to 72,706.50 and 106,662.75 is: 156,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,706.50 : 106,662.75 = 106,662.75 : x
  2. Step 2: Convert to fraction form
    72,706.50/106,662.75 = 106,662.75/x
  3. Step 3: Cross multiply
    72,706.50x = 106,662.75 × 106,662.75
  4. Step 4: Simplify right side
    72,706.50x = 11,376,942,237.56
  5. Step 5: Solve for x
    x = 11,376,942,237.56/72,706.50
  6. Step 6: Final answer
    x = 156,477.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.